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采用多项式基点插值配置法求解带有双侧导数的空间分数阶微分方程。首先给出利用多项式基点插值离散得到的数值逼近格式,然后给出数值算例,分别采用规则点和散点离散空间变量,均得到近似程度较好的计算结果,很好地验证了所提出数值方法的有效性。
具有广义Marshall Olkin分布部件并联系统随机比较性质     Marshall  Olkin  相依  并联  似然比序  增凹序  随机序       font style='font-size:12px;'> 2022/3/30
研究了具有二维MarshallOlkin指数分布的两部件组成的并联系统似然比序性质,部分推广了相关文献的结论。同时考虑了具有广义二维MarshallOlkin分布的两部件组成的并联系统,得到了并联系统的随机比较性质。
Consideran(sr )sn factorialdesignD= [D0,DT]inst runs,involvingone sr -levelfactor (r≥2),groupedbytheLrs-levelfactors,andns-level factors.
In this paper, a new method of modified second order slope rotatable designs (SOSRD) using balanced incomplete block designs (BIBD) for 4≤v≤16 is presented. In this method the number of design point...
Optimal expansions in non-integer bases     non-integer bases  math       font style='font-size:12px;'> 2010/11/24
For a given positive integer $m$, let $A=\set{0,1,\ldots,m}$ and $q \in (m,m+1)$. A sequence $(c_i)=c_1c_2 \ldots$ consisting of elements in $A$ is called an expansion of $x$ if $\sum_{i=1}^{\infty} c...
The homotopy limit problem and (etale) hermitian K-theory     The homotopy limit problem  hermitian K-theory       font style='font-size:12px;'> 2010/11/24
Let X be a noetherian separated scheme with 2 invertible in the ring of regular functions. Assume further that $X$ has finite Krull dimension and there is a global bound on the virtual 2 cohomological...
A new method is proposed to improve the numeri- cal simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one,...
Consider a subset $A$ of $\mathbb{F}_p^n$ and a decomposition of its indicator function as the sum of two bounded functions $1_A=f_1+f_2$. For every family of linear forms, we find the smallest degre...
Representation of Unity by Binary Forms     Representation  Binary Forms       font style='font-size:12px;'> 2010/11/23
In this paper, it is shown that if F(x , y) is an irreducible binary form with integral coefficients and degree $n \geq 3$, then provided that the absolute value of the discriminant of F is large enou...
On the second smallest prime non-residue     prime non-residue  math       font style='font-size:12px;'> 2010/11/23
Let $\chi$ be a non-principal Dirichlet character modulo a prime $p$. Let $q_1
We study the $3 \times 3$ elliptic systems $\nabla (a(x) \nabla\times u)-\nabla (b(x) \nabla \cdot u)=f$, where the coefficients $a(x)$ and $b(x)$ are positive scalar functions that are measurable an...
A finiteness property of graded sequences of ideals     graded sequences of ideals  math       font style='font-size:12px;'> 2010/11/23
Given a graded sequence of ideals (a_m) on a smooth variety X, suppose that for every m we have a divisor E_m over X that computes the log canonical threshold of a_m, and such that the log discrepanc...
Enumeration of snakes and cycle-alternating permutations     snakes  cycle-alternating permutations       font style='font-size:12px;'> 2010/11/9
Springer numbers are an analog of Euler numbers for the group of signed permutations. Arnol'd showed that they count some objects called snakes, that generalize alternating permutations. Hoffman estab...
Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on bd(D), and non-negative initial condition. We sho...
Pfaffian Stochastic Dynamics of Strict Partitions     Pfaffian Stochastic Dynamics  Strict Partitions       font style='font-size:12px;'> 2010/11/19
We study a family of continuous-time Markov jump processes on strict partitions (partitions with distinct nonzero parts) preserving the distributions introduced by Borodin (1997) in connection with p...

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